Hi, ME =
c=.90,X=12.3, S=4.0, n=6
DF = 6-1 = 5 , First column: z = 2.015
0.1 0.05 0.02 0.01
2 2.9200 4.3026 6.9646 9.9247 14.0887
3 2.3534 3.1824 4.5407 5.8408 7.4534
4 2.1319 2.7764 3.7470 4.6041 5.5976
5 2.0150 2.5706 3.3650 4.0322 4.7734
6 1.9432 2.4469 3.1426 3.7074 4.3168
ME == 3.29
12.3 - 3.29 << 12.3 + 3.29
9.01 << 15.59
9.0 << 15.6
Generally: Round the confidence interval limits to the same number of decimal places as the sample standard deviation